English and american spellings are colour and color, respectively. a man staying at a parisian hotel writes this word, and a letter taken at random from his spelling is found to be a vowel. if 40 percent of the english-speaking men at the hotel are english and 60 percent are americans, what is the probability that the writer is an englishman?

The probability is 5/11

Step-by-step explanation:

Let's call V the event that the letter taken at random is a vowel.

Let's call E the event that the man is English and A to the event that the man is American.

If 40 percent of the English-speaking men at the hotel are English means P(E)=0.40 and 60 percent are Americans means P(A)=0.60

In ''color'' we have 2 vowels out of 5 letters so P(V/A)=2/5

In ''colour'' we have 3 vowels out of 6 letters so P(V/E)=3/6=1/2

P(E/V)=P(E∩ V)/P(V)

P(V)=P(V|E)P(E) +P(V|A)P(A)

P(V)=(1/2)0.40+(2/5)0.60=0.44

P(E∩V)=P(V|E)P(E)=(1/2)0.40=0.20

P(E/V)=0.20/0.44=0.45454545=5/11

a.)the line for function b is steeper

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: